crystacb14 crystacb14
  • 19-11-2019
  • Mathematics
contestada

what is the 10th term of the geometric sequence 10,-20,40,

Respuesta :

desvarreuxsimon desvarreuxsimon
  • 09-04-2022

Answer:

10240

Step-by-step explanation:

As it is a geometric sequence, you multiply each time with the same number but it is raised to a certain power (1 for the first value, 2 for the second, etc.) Here, we can see the number is -2 as  -2x 10 = -20 and 10x [tex]10 X (-2)^{2} = 40[/tex]

We mustcontinue to the tenth value which will be:

[tex]10 X (-2)^{10} = 10 X 2x^{10} = 10240[/tex]

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